2552421323729 has 2 divisors, whose sum is σ = 2552421323730. Its totient is φ = 2552421323728.

The previous prime is 2552421323713. The next prime is 2552421323741. The reversal of 2552421323729 is 9273231242552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2305857435025 + 246563888704 = 1518505^2 + 496552^2 .

It is a cyclic number.

It is not a de Polignac number, because 2552421323729 - 2⁴ = 2552421323713 is a prime.

It is a super-2 number, since 2×2552421323729² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2552421343729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276210661864 + 1276210661865.

It is an arithmetic number, because the mean of its divisors is an integer number (1276210661865).

Almost surely, 2^{2552421323729} is an apocalyptic number.

It is an amenable number.

2552421323729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2552421323729 is an equidigital number, since it uses as much as digits as its factorization.

2552421323729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1814400, while the sum is 47.

The spelling of 2552421323729 in words is "two trillion, five hundred fifty-two billion, four hundred twenty-one million, three hundred twenty-three thousand, seven hundred twenty-nine".